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Finding the Third Proportional to 26,907.19 and 58,658.34

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Solution

The third proportional to 26,907.19 and 58,658.34 is: 127,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.19 : 58,658.34 = 58,658.34 : x
  2. Step 2: Convert to fraction form
    26,907.19/58,658.34 = 58,658.34/x
  3. Step 3: Cross multiply
    26,907.19x = 58,658.34 × 58,658.34
  4. Step 4: Simplify right side
    26,907.19x = 3,440,801,291.49
  5. Step 5: Solve for x
    x = 3,440,801,291.49/26,907.19
  6. Step 6: Final answer
    x = 127,876.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.